Professor Thomas Lumley

BSc(Hons), MSc, PhD

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Chair in Biostatistics


I attended Monash University (B.Sc.(Hons) in Pure Mathematics), the University of Oxford (M.Sc. in Applied Statistics) and the University of Washington, Seattle (PhD in Biostatistics). I spent twelve years on the faculty of the Department of Biostatistics at the University of Washington, and then moved to Auckland in 2010. I am still an Affiliate Professor at the University of Washington.

Research | Current

My research interests include

  • Semiparametric models
  • Survey sampling
  • Statistical computing
  • Foundations of statistics
  • and whatever methodological problems his medical collaborators come up with -- currently, multiple imputation on big datasets


  • The survey package for R is a fairly comprehensive system for analysis of data from complex probability samples.
  • I have written a book on survey analysis, published by Wiley.


Teaching | Current

  • STATS 765 S1 2020 (with Lisa Chen)
  • STATS 763 S1 2020 (with Alain Vandal)


Postgraduate supervision

Potential student projects

  • Likelihood of the empirical distribution function as an approach to Bayesian analysis of survey data.
  • Mixed models under complex sampling -- and maybe network models, too
  • Survey software: design and implementation of various things for the survey package in R or for database backends. Graphics, probability distributions, regression models, multivariate methods...
  • Multiple imputation: implementing more general analysis rules than Rubin's, graphics and exploration
  • Multiple response data: how to work with them in R


Fellow of the Royal Society of New Zealand
Fellow of the American Statistical Association

Selected publications and creative works (Research Outputs)

As of 29 October 2020 there will be no automatic updating of 'selected publications and creative works' from Research Outputs. Please continue to keep your Research Outputs profile up to date.
  • Holbrook, A., Lumley, T., & Gillen, D. (2019). Estimating prediction error for complex samples. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 48 (2), 204-221. 10.1002/cjs.11527
  • Chen, T., & LUMLEY, T. (2019). Numerical evaluation of methods approximating the distribution of a large quadratic form in normal variables. Computational Statistics and Data Analysis, 139, 75-81. 10.1016/j.csda.2019.05.002
    Other University of Auckland co-authors: Tong Chen
  • Lumley, T. (2019). Fast Generalized Linear Models by Database Sampling and One-Step Polishing. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 28 (4), 1007-1010. 10.1080/10618600.2019.1610312
  • Fadason, T., Schierding, W., Lumley, T., & O'Sullivan JM (2018). Chromatin interactions and expression quantitative trait loci reveal genetic drivers of multimorbidities. Nature communications, 9 (1)10.1038/s41467-018-07692-y
    Other University of Auckland co-authors: Tayaza Fadason, Justin O'Sullivan, William Schierding
  • Oh, E. J., Shepherd, B. E., Lumley, T., & Shaw, P. A. (2018). Considerations for analysis of time-to-event outcomes measured with error: Bias and correction with SIMEX. Statistics in medicine, 37 (8), 1276-1289. 10.1002/sim.7554
  • Rice, K., Higgins, J. P. T., & Lumley, T. (2018). A re-evaluation of fixed effect(s) meta-analysis. Journal of the Royal Statistical Society. Series A: Statistics in Society, 181 (1), 205-227. 10.1111/rssa.12275
  • Lumley, T., & Scott, A. (2017). Fitting Regression Models to Survey Data. Statistical Science, 32 (2), 265-278. 10.1214/16-STS605
  • Rivera, C., & Lumley, T. (2016). Using the whole cohort in the analysis of countermatched samples. Biometrics, 72 (2), 382-391. 10.1111/biom.12419
    Other University of Auckland co-authors: Claudia Rivera Rodriguez

Contact details

Primary office location

Level 3, Room 325
New Zealand